360° = 2π rad
Explanations:To convert an angle θ from degrees to radian, use the formula below:
[tex]\theta_{rad}=\theta_{deg}\times\frac{\pi}{180}[/tex]Now, we want to convert 360° to radian
[tex]\begin{gathered} \theta_{deg}=\text{ 360}\degree \\ \theta_{rad}=\text{ 360 }\times\frac{\pi}{180} \\ \theta_{rad}=\frac{360\pi}{180} \\ \theta_{rad}=2\pi \end{gathered}[/tex]Therefore, 360° = 2π rad
